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 Mat. Zametki, 1996, Volume 59, Issue 6, Pages 865–880 (Mi mz1785)

A few remarks on $\zeta(3)$

Yu. V. Nesterenko

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A new proof of the irrationality of the number $\zeta(3)$ is proposed. A new decomposition of this number into a continued fraction is found. Recurrence relations are proved for some sequences of Meyer's $G$-functions that define a sequence of rational approximations to $\zeta(3)$ at the point 1.

DOI: https://doi.org/10.4213/mzm1785

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English version:
Mathematical Notes, 1996, 59:6, 625–636

Bibliographic databases:

UDC: 511.36

Citation: Yu. V. Nesterenko, “A few remarks on $\zeta(3)$”, Mat. Zametki, 59:6 (1996), 865–880; Math. Notes, 59:6 (1996), 625–636

Citation in format AMSBIB
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